Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

François Bouchut; François Golse; Christophe Pallard

doi:10.1007/s00205-003-0265-6

Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

François Bouchut
, François Golse
, Christophe Pallard

Research output: Contribution to journal › Article › peer-review

Abstract

R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C¹ solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Archive for Rational Mechanics and Analysis
Volume	170
Issue number	1
DOIs	https://doi.org/10.1007/s00205-003-0265-6
Publication status	Published - 1 Nov 2003
Externally published	Yes

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title = "Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System",

abstract = "R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C1 solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.",

author = "Fran{\c c}ois Bouchut and Fran{\c c}ois Golse and Christophe Pallard",

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AU - Bouchut, François

AU - Golse, François

AU - Pallard, Christophe

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Y1 - 2003/11/1

N2 - R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C1 solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.

AB - R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C1 solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.

UR - https://www.scopus.com/pages/publications/0242370972

U2 - 10.1007/s00205-003-0265-6

DO - 10.1007/s00205-003-0265-6

M3 - Article

AN - SCOPUS:0242370972

SN - 0003-9527

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SP - 1

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JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 1

ER -

Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

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